A379429 Numbers k such that (31^k + 2^k)/33 is prime.

229, 1429, 36083, 44089

Offset

1,1

Comments

The definition implies that k must be a prime.

a(5) > 10^5.

Links

Table of n, a(n) for n=1..4.

P. Bourdelais, A Generalized Repunit Conjecture.

J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.

H. Dubner and T. Granlund, Primes of the Form (b^n+1)/(b+1), J. Integer Sequences, 3 (2000), #P00.2.7.

H. Lifchitz, Mersenne and Fermat primes field

Eric Weisstein's World of Mathematics, Repunit.

Mathematica

Select[Prime[Range[10000]], PrimeQ[(31^# + 2^#)/33] &]

Crossrefs

Cf. A057187, A057188, A062587, A062589, A127996, A127997, A128344, A204940, A217320, A225807, A228922, A229542, A375161, A375236, A377031, A377856.

Sequence in context: A210514 A142665 A124684 * A332740 A178673 A028452

Adjacent sequences: A379426 A379427 A379428 * A379430 A379431 A379432

Keyword

nonn,hard,more

Author

Robert Price, Dec 22 2024

Status

approved